4 papers
Ratio of sum of digits functions in two bases
Pascal Jelinek
In 2019 La Bretèche, Stoll and Tennenbaum showed that the ratio of the sum of digits function of two multiplicatively independent bases and is d…
Binomial coefficients coprime to 6
Pascal Jelinek
It is a well known result by Singmaster that any integer divides almost all binomial coefficients. The study of the structure and the size of the exceptional set has been of in…
Gowers norms for linearly recurrent numeration systems
Pascal Jelinek
Gowers norms have been a key component in the proofs of many breakthrough results in connection to the sum of digits function. Spiegelhofer has used them to show that the Thue-Mors…
Binary-ternary collisions and the last significant digit of in base 12
Jean-Marc Deshouillers, Pascal Jelinek, Lukas Spiegelhofer
The third-named author recently proved [Israel J. of Math. 258 (2023), 475--502] that there are infinitely many \textit{collisions} of the base-2 and base-3 sum-of-digits functions…